浅阱中双组份玻色-爱因斯坦凝聚体基态的稳定性研究  

The ground state stability of a two-component Bose-Einstein condensates in a finite deep trap

作　　者：周小燕 梁青青 赵春艳 ZHOU Xiaoyan;LIANG Qingqing;ZHAO Chunyan(Lanzhou University of Arts and Science,Lanzhou 730070,China)

机构地区：[1]兰州文理学院传媒工程学院,甘肃兰州730070

出　　处：《延边大学学报（自然科学版）》2020年第1期37-39,89,共4页Journal of Yanbian University（Natural Science Edition）

基　　金：兰州文理学院校级项目(17XJZZ08)。

摘　　要：应用变分法研究了囚禁在有限深势阱中的双组份玻色爱因斯坦凝聚体基态的稳定性,结果显示:在有限深势阱中有可能获取稳定的双组份凝聚体,但须满足囚禁原子数的临界条件和基态能量塌缩的临界条件.通过变分法计算还得到了波包的宽度、能量与相互作用系数之间的函数关系,并发现凝聚体之间的相互作用对其稳定性具有非常重要的作用.The stability of two-component Bose-Einstein condensates(BECs)in a two-dimensional shallow trap are investigated using the variational method.We find that stable ground state of the two-component BECs can exist in the shallow trap,but must meet the collapse condition of the ground state energy and the atomic number.In addition,the relations among the width,energy and interaction coefficients of the wave packets are obtained by calculation.The results show that the trap depth and the intra-species atoms interaction play an important role on the stability of the ground state.

关 键 词：玻色爱因斯坦凝聚体 双组份 塌缩 临界条件 基态 

分 类 号：O469[理学—凝聚态物理]